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Finding the Third Proportional to 736,784 and 1,141,140

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Solution

The third proportional to 736,784 and 1,141,140 is: 1,767,411.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,784 : 1,141,140 = 1,141,140 : x
  2. Step 2: Convert to fraction form
    736,784/1,141,140 = 1,141,140/x
  3. Step 3: Cross multiply
    736,784x = 1,141,140 × 1,141,140
  4. Step 4: Simplify right side
    736,784x = 1,302,200,499,600
  5. Step 5: Solve for x
    x = 1,302,200,499,600/736,784
  6. Step 6: Final answer
    x = 1,767,411.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.